Your lives, coins, and boosters will be synced across your devices as long as you are logged into Facebook. If you have multiple devices with Cookie Jam that are not connected to Facebook, they will not sync. If your devices are synced and the inventory appears to not be updating, please check if you have the most recent version on all devices. A device with an older version can cause issues like this to happen.
If all devices are updated to the most recent version, please reach out and we can help troubleshoot what may be causing this.